GCD of 148, 688, 413 Calculator

Given Input numbers are 148, 688, 413

In the factoring method, we have to find the divisors of all numbers

Divisors of 148 :

The positive integer divisors of 148 that completely divides 148 are.

1, 2, 4, 37, 74, 148

Divisors of 688 :

The positive integer divisors of 688 that completely divides 688 are.

1, 2, 4, 8, 16, 43, 86, 172, 344, 688

Divisors of 413 :

The positive integer divisors of 413 that completely divides 413 are.

1, 7, 59, 413

GCD of numbers is the greatest common divisor

So, the GCD (148, 688, 413) = 1.

Given numbers are 148, 688, 413

The list of prime factors of all numbers are

Prime factors of 148 are 2 x 2 x 37

Prime factors of 688 are 2 x 2 x 2 x 2 x 43

Prime factors of 413 are 7 x 59

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 148, 688, 413

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(148, 688) = 25456

GCD(148, 688) = ( 148 x 688 ) / 25456

= 148 / 688

= 148

Step2:

LCM(4, 413) = 1652

GCD(4, 413) = ( 4 x 413 ) / 1652

= 4 / 413

= 4

So, Greatest Common Divisor of 148, 688, 413 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 854, 726, 982
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• GCD of 138, 249, 670
• GCD of 869, 642, 892
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Given numbers are 148, 688, 413
The greatest common divisor of numbers 148, 688, 413 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 148, 688, 413 is 1.

1. What is the GCD of 148, 688, 413?

GCD of given numbers 148, 688, 413 is 1

2. How to calculate the greatest common divisor of 148, 688, 413?

We can find the highest common divisor of 148, 688, 413 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 148, 688, 413 i.e 1.

3. How can I use the GCD of 148, 688, 413Calculator?

Out the numbers 148, 688, 413 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.